Substitution Property for the Ring of Continuous Rational Functions

2018/06/28 by Fichou, Goulwen, Monnier, Jean-Philippe, Quarez, Ronan
#Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1806.11004

Abstract

We study the substitution property for the ring R 0 (V) of continuous rational functions on a real algebraic affine variety V. We show that R 0 (V) satisfies a substitution property along points; moreover, when V is non-singular, it satisfies also a substitution property along Puiseux arcs, which characterizes R 0 (V).

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